Global solution with partial large initial data to the Keller–Segel–Navier–Stokes equations in Besov spaces

In this paper, we prove a global large solution result to the Keller–Segel–Navier–Stokes equations in critical Besov spaces. The result indicates that the global solutions exist without any small conditions imposed on the initial oxygen concentration c 0 . This is different from some known large sol...

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Bibliographic Details
Published inJournal of inequalities and applications Vol. 2024; no. 1; pp. 158 - 12
Main Author Zhou, Xuhuan
Format Journal Article
LanguageEnglish
Published Cham Springer International Publishing 18.12.2024
Springer Nature B.V
SpringerOpen
Subjects
Analysis
Applications of Mathematics
Besov spaces
Fluid flow
Function space
Keller–Segel–Navier–Stokes equations
Large solutions
Mathematics
Mathematics and Statistics
Navier-Stokes equations
Large solutions
35Q35
76B03
42B37
Keller–Segel–Navier–Stokes equations
Besov spaces
35K55
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Summary:In this paper, we prove a global large solution result to the Keller–Segel–Navier–Stokes equations in critical Besov spaces. The result indicates that the global solutions exist without any small conditions imposed on the initial oxygen concentration c 0 . This is different from some known large solutions results, which allow the part large initial data u 0 .
Bibliography:ObjectType-Article-1
SourceType-Scholarly Journals-1
ObjectType-Feature-2
content type line 14
ISSN:1029-242X
1025-5834
1029-242X
DOI:10.1186/s13660-024-03244-9